Energy-Conserving Algorithms for a Corotational Formulation

Abstract : Standard nonlinear schemes for the the simulation of elastodynamic problems have several shortcomings when considering high-speed rotations. To tackle these problems, we use a corotational framework and a corresponding specific linearization to design new energy-conserving numerical schemes. In the two-dimensional case, an algorithm preserving also angular momentum is presented. The existence of a solution for the fully discrete setting of this algorithm is established. Numerical results illustrate the flexibility and efficiency of the proposed algorithms.
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https://hal.archives-ouvertes.fr/hal-00363422
Contributor : Julien Salomon <>
Submitted on : Monday, February 23, 2009 - 12:26:43 PM
Last modification on : Thursday, January 11, 2018 - 6:12:20 AM

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Julien Salomon, B.I. Wohlmuth, A.A. Weiss. Energy-Conserving Algorithms for a Corotational Formulation. SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2008, 46 (4), pp.1842-1866. ⟨10.1137/060669863⟩. ⟨hal-00363422⟩

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